Question 122607


{{{-7x+1+8x=x+1}}} Start with the given equation




{{{x+1=x+1}}} Combine like terms on the left side



{{{x=x+1-1}}}Subtract 1 from both sides



{{{x-x=1-1}}} Subtract x from both sides



{{{0x=1-1}}} Combine like terms on the left side



{{{0x=0}}} Combine like terms on the right side



{{{0=0}}} Simplify


Since this equation is always true for any x value, this means x can equal any number. So there are an infinite number of solutions.